<img src="https://tex.z-dn.net/?f=54x2y%20-%2012x2y2" id="TexFormula1" title="54x2y - 12x2y2" alt="54x2y

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Nimfa-mama [501]

3 years ago

dle" class="latex-formula">

Mathematics

2 answers:

Free_Kalibri [48]3 years ago

7 0

Answer:

6x²y(9 - 2y)

Step-by-step explanation:

Step 1: Factor out GCF

6(9x²y - 2x²y²)

Step 2: Factor out <em>x²</em>

6x²(9y - 2y²)

Step 3: Factor out <em>y</em>

6x²y(9 - 2y)

And we have our factored answer.

Olegator [25]3 years ago

3 0

Answer:

$6x^2y(9 - 2y)$

Step-by-step explanation:

$54x^2y - 12x^2y^2 =$

The GCF of 54 and 12 is 6.

The GCF of x^2 and x^2 is x^2.

The GCF of y and y^2 is y.

We factor out each GCF above.

$= 6x^2y(9 - 2y)$

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Draw an angle in standard position whose terminal side contains the point

kvasek [131]

Answer:

The distance of the point from the origin = 9.29 units.

Step-by-step explanation:

Given point:

(7,-6)

The angle lies such that the terminal side of the angle contains the given point.

To draw the angle and find the distance from the origin to the given point.

Solution:

The terminal side of the angle is where the angle ends with the initial side being the positive side of the x-axis.

So, we can plot the point (7,-6) by moving 7 units on the x-axis horizontally and -6 units on the y-axis vertically.

We can find the distance of the point from the origin by find the hypotenuse of the triangle formed.

Applying Pythagorean theorem.

$Hypotenuse^2=Shorter\ Leg^2+Shortest\ Leg^2$

$Hypotenuse^2 = (7)^2+(-6)^2$

$Hypotenuse^2=49+36\\Hypotenuse^2=85$

Taking square root both sides :

$\sqrt{Hypotenuse^2}=\sqrt{85}$

$Hypotenuse = 9.29\ units$

Thus, the distance of the point from the origin = 9.29 units.

The figure is shown below.

5 0

3 years ago

A pharmacy wants to survey its customers to find out which brand of toothpaste they prefer. Which survey methods are likely to b

iVinArrow [24]

C- Often times, if someone is using a coupon, they just want the lowest price and don't care what toothpaste is considered "the Best."

6 0

3 years ago

What is the answer to this problem −12/5+13/6+−3 2/3

Aleonysh [2.5K]

Step-by-step explanation:

hsbsbs snz s nsnsnsssksnnsjs

8 0

3 years ago

If the coordinates of point A are (-3,2) and the coordinates of point B are (7,6) the x intercept of cd is

Rainbow [258]

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4 0

2 years ago

PLEASE HELP!! I WILL BRAINLIEST

ArbitrLikvidat [17]

Answer:

81.8%

Step-by-step explanation:

Mean = $\mu = 40$

Standard deviation = $\sigma = 5$

Now we are supposed to find out what percent of the numbers fall between 35 and 50

$z = \frac{x-\mu}{\sigma}$

Substitute the values

$z = \frac{x-40}{5}$

Now for P(35<x<50)

Substitute x = 35

$z = \frac{35-40}{5}$

$z =-1$

Substitute x = 50

$z = \frac{50-40}{5}$

$z =2$

So, P(-1<z<2)

P(z<2)-P(z<-1)

=0.9772-0.1587

=0.8185

= $0.818 \times 100$

=81.8%

Hence 81.8% percent of the numbers fall between 35 and 50

7 0

3 years ago